Mathematics College

I cant figure this out! please help.


solve for a.

3a+11.5



Answers

Answer 1
Hello!

You can solve this algebraically

3a + 11 > 5

Subtract 11 from both sides

3a > -6

Divide both sides by 3

a > -2

The answer is any number that is greater than -2

Hope this helps!
Answer 2
3a + 11 > 5
Subtract 11 from both sides.

3a > -6
Divide both sides by 3.

a > -2

Related Questions

the volume of water in a bowl is given by V=1/3pih^2(60-h), where h is the depth of the water in centimeters. If the depth is increasing at the rate of 3cm/sec when the water is 10 cm deep, how fast is the volume increasing at that instant

Answers

[tex]\bf V=\cfrac{1}{3}\pi h^2(60-h)\implies V=\cfrac{1}{3}\pi h^260-\cfrac{1}{3}\pi h^3 \\\\\\ V=20\pi h^2-\cfrac{\pi }{3}h^3\implies \cfrac{dV}{dt}=20\pi \left(\stackrel{chain~rule}{2h\frac{dh}{dt}} \right)-\cfrac{\pi }{3}(\stackrel{chain~rule}{3h^2\frac{dh}{dt}}) \\\\\\ \begin{cases} \frac{dh}{dt}=3\\ h=10 \end{cases}\implies \cfrac{dV}{dt}=20\pi [2(3)(10)]-\cfrac{\pi }{3}[3(10)^2(3)] \\\\\\ \cfrac{dV}{dt}=1200\pi -300\pi \implies \cfrac{dV}{dt}=\stackrel{\frac{cm}{sec}}{900\pi }[/tex]

Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?

Answers

We have to find value of the house in 8 years so we will plug t=8 years in given equation.

[tex] y=150000(1.004)^{\left(12t\right)} [/tex]

[tex] y=150000(1.004)^{\left(12*8\right)} [/tex]

[tex] y=150000(1.004)^{96} [/tex]

[tex] y=150000(1.46702133432) [/tex]

[tex] y=220053.200148 [/tex]

Hence house will worth approx $220053.20 in 8 years.

Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?

Solution:

Equation of the appreciation of the value of house is given by:-

[tex]y=150000(1.004)^{12t}[/tex]

We need to find the worth of the house after 8 years

So, that means time, t=8

Let us plug t=8 in the equation [tex]y=150000(1.004)^{12t}[/tex]

So, we get,

[tex]y=150000(1.004)^{12*(8)}[/tex]

[tex]y=150000(1.004)^{96}[/tex]

[tex]y=150000(1.467021)[/tex]

y=150000*1.467021

y=220053.20

In 8 years the value appreciates to $220053.20, that s, worth of house after 8 years=$22005320


Find the area of the parallelogram with vertices at (−2,3),(−2,3), (6,14),(6,14), (−14,1),(−14,1), and (−6,12).(−6,12).

Answers

C is your answer your welcome

Find the relative rate of change of the function f(x)=150-0.08x^2

Answers

Relative change of a function is given by it's first derivative:
The relative rate of change will be given by:
f(x)=150-0.08x^2
the first derivative is given by:
f'(x)=-0.16x
thus the answer is:
f'(x)=-0.16x

what is a factor of 4x^2+36x+72

Answers

Clearly, 4 is a factor of all terms. Beyond that, a graph suggests that (x+3) and (x+6) are also factors.

[tex]4x^{2}+36x+72=4(x+3)(x+6)[/tex]

Which of the following graphs shows a negative linear relationship with a correlation coefficient, r, relatively close to -1

Answers

Graph B is the correct answer as of July 2018

The graph that shows a negative linear relationship that has a correlation coefficient, r, that is closer to -1 is: B. graph B.

What is a Negative Linear Relationship Graph?

A graph that shows a negative linear relationship has a trendline that slopes downwards from your left to the right.

The closer the data points are to each other along the trendline in a negative linear graph, the closer the correlation coefficient, r, is to -1.

Therefore, the graph that shows a negative linear relationship and has a correlation coefficient, r, that is closer to -1 is: B. graph B.

Learn more about negative linear relationship graph on:

https://brainly.com/question/17088993

#SPJ2

write a number sentence to compare 7.17 and 7.170

Answers

Both of these values are the same, so the number sentence would state:

7.17 = 7.170

You can place any number of zeros to the very end on the right side (when there is a decimal point) without changing the value of the number.

7.1700000 = 7.17 also

Answer:

They are equal

Step-by-step explanation:

Which best describes a triangle with side lengths of 6 inches 8 inches and 9 inches?

Answers

It is an acute scalene triangle.

PLZ HELP ASAP TANGENTS OF CIRCLES

Answers

First, we are given that the inscribed angle of arc CB which is angle D is equal to 65°. This is half of the measure of the arc which is equal to the measure of the central angle, ∠O. 
 
    m∠O = 2 (65°) = 130°

Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°. 

     m∠O + m∠C + m∠B + m∠A = 360°

Substituting the known values,
     130° + 90° + 90° + m∠A = 360°

The value of m∠A is equal to 50°.

Answer: 50°

Use right triangle DCB to find the trig values for angle D.

sinD =

cosD =

tanD =

Answers

sin D= opp./hyp. = 35/37
cos D= adj./hyp. = 12/37
tan D= opp./ adj. = 35/12

Answer: sinD = 0. 9459

cosD =0. 3243 tanD=2. 917

Step-by-step explanation:

From the figure above;

opposite = 35

adjacent = 12

hypotenuse = 37

sin D = opposite/hypotenuse

sinD = 35/37 = 0. 9459

cosD = adjacent/hypotenuse

= 12/37 = 0. 3243

tanD = adjacent/opposite

= 35/12 = 2. 9167

A professor teaching a discrete math course gives a multiple-choice quiz that has ten questions, each with four possible responses: a, b, c,
d. what is the minimum number of students that must be in the professor's class in order to guarantee that at least three answer sheets must be identical? (assume that no answers are left blank.)3

Answers

Each question has three possible distinct answers.
Ten questions have 3^10 possible distinct answers sheets.
=>
(3^10)+3 will guarantee that at least 3 answer sheets are identical.

Numerically, 
(3^10)+3 = 59049 +3 = 59052

The correct minimum number of students required to guarantee that at least three answer sheets must be identical is 5.

To solve this problem, we can use the pigeonhole principle. The pigeonhole principle states that if you have more pigeons than pigeonholes, at least one pigeonhole must contain more than one pigeon.

In this scenario, each question can be thought of as a pigeonhole, with the possible answers (a, b, c, d) as the pigeons. Since there are four possible answers for each question, we have four pigeonholes for each of the ten questions.

Now, let's consider the number of students (pigeons) and the number of unique answer sheets (pigeonholes). We want to find the minimum number of students such that at least three of them have identical answer sheets.

For two students, there are [tex]\(4^{10}\)[/tex] possible combinations of answers for the ten questions. For three students, the number of possible combinations of answers is [tex]\(4^{10} \times 4^{10}\)[/tex]. In general, for [tex]\(n\)[/tex] students, the number of possible combinations is [tex]\(4^{10} \times 4^{10} \times \ldots \times 4^{10}\) (\(n\) times)[/tex].

We need to find the smallest [tex]\(n\)[/tex] such that the number of combinations exceeds the number of ways to distribute the answer sheets without having three identical ones.

The number of ways to distribute the answer sheets without having three identical is given by the sum of the combinations of choosing 1, 2, ...,[tex]\(n-1\)[/tex] students out of [tex]\(n\)[/tex] to have unique answer sheets, and then multiplying by [tex]\(4^{10}\)[/tex] for each unique combination. This is because we are allowing for the possibility that some students have the same answer sheets, but not more than two.

The sum is given by:

[tex]\[ \binom{n}{1} \times 4^{10} + \binom{n}{2} \times 4^{10} + \ldots + \binom{n}{n-1} \times 4^{10} \][/tex]

We want to find the smallest [tex]\(n\)[/tex] such that:

[tex]\[ \binom{n}{1} \times 4^{10} + \binom{n}{2} \times 4^{10} + \ldots + \binom{n}{n-1} \times 4^{10} < 4^{10n} \][/tex]

For [tex]\(n = 4\)[/tex], we have:

[tex]\[ \binom{4}{1} \times 4^{10} + \binom{4}{2} \times 4^{10} + \binom{4}{3} \times 4^{10} = 4 \times 4^{10} + 6 \times 4^{10} + 4 \times 4^{10} = 14 \times 4^{10} \][/tex]

For [tex]\(n = 5\)[/tex], we have:

[tex]\[ \binom{5}{1} \times 4^{10} + \binom{5}{2} \times 4^{10} + \binom{5}{3} \times 4^{10} + \binom{5}{4} \times 4^{10} \][/tex]

[tex]\[ = 5 \times 4^{10} + 10 \times 4^{10} + 10 \times 4^{10} + 5 \times 4^{10} = 30 \times 4^{10} \][/tex]

Now, we compare [tex]\(30 \times 4^{10}\) with \(4^{10 \times 5}\)[/tex]. Since [tex]\(4^{10 \times 5}\)[/tex] is much larger than[tex]\(30 \times 4^{10}\)[/tex], we can see that for [tex]\(n = 5\)[/tex], the number of possible combinations exceeds the number of ways to distribute the answer sheets without having three identical ones.

Therefore, the minimum number of students required to guarantee that at least three answer sheets must be identical is 5.

Explain how you can use a model to find 4x 3/8

Answers

4 rectangles split it on 8 part then shade 3 of the 8 parts, them count every rectangle shades and add the all together, you will get 12/8, is the same if you multiply 4*3/8 you will get 12/8 simplified is 1/2!

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

a2 − 2a − 224 = 0


8, –28


16, –14


–16, 14


–8, 28

Answers

For this case we have the following equation:
 a2 - 2a - 224 = 0
 Applying the resolver we have:
 A = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a)
 Substituting values we have:
 A = (- (- 2) +/- root ((- 2) ^ 2 - 4 * 1 * (- 224))) / (2 * (1))
 Rewriting:
 A = (2 +/- root (4 + 896)) / (2)
 A = (2 +/- root (900)) / (2)
 A = (2 +/- 30) / (2)
 The roots are:
 A1 = (2 + 30) / (2)
 A2 = (2 - 30) / (2)
 Rewriting:
 A1 = 16
 A2 = -14
 Answer:
 16, -14
The answer is Answer:
 
16, -14

A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer to the nearest hundredth.

Answers

Angular velocity = 300 revolutions per minute

1 revolution = 2π radians.

So, we can write:

Angular velocity = 300 x 2π radians per minute = 600π radians per minute

1 minute = 60 seconds.

So, 

Angular velocity = 600π radians per 60 seconds
⇒
Angular velocity = 10π radians per second
Angular velocity = 31.42 radians per second

Thus, rounding of to nearest hundredth, the angular velocity will be 31.42 radians per second. 

Answer:

31.42

Step-by-step explanation:

hey can you please help me posted picture of question

Answers

im sure that it is A. i hope this helps you and you make a great grade on your test
Answer:
The solutions are: 1 + 6i and 1 - 6i

Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0

The given equation is:
x² - 2x + 37 = 0

By comparison:
a = 1
b = -2
c = 37

Now, to get the solutions of the equation, we will use the quadratic formula shown in the attached image.

By substitution in this formula, we would find that:
either x = [tex] \frac{2+ \sqrt{(-2)^2-4(1)(37)} }{2(1)} = 1 + 6i[/tex]

or x = [tex] \frac{2- \sqrt{(-2)^2-4(1)(37)} }{2(1)} = 1 - 6i[/tex]

Hope this helps :)

The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. what is the probability that washing dishes tonight will take me between 11 and 13 minutes?

Answers

12 min 12 min 12 min 12 min

The area of a rectangular patio is 5 and 5/8 square yards, and its length is 1 and 1/2 yards. What is the patio's width in yards?

Answers

area = length * width

width = area/length

area = 5 5/8 sq yd = 5.625 sq yd
length = 1 1/2 yd = 1.5 yd

width = area/length = (5.625 sq yd)/(1.5 yd) = 3.75 yd

width = 3.75 yd = 3 3/4 yd
Hello!

We can use the equation to find the area of a rectangle

The equation is l * w = A

l is length
w is width
A is area

Put in the values you know
1 1/2 * w = 5 5/8

Divide both sides by 1 1/2

w = 3 3/4

The answer is 3 3/4 yards

Hope this helps!

Concerned about graffiti, mayors of nine suburban communities instituted a citizen community watch program. community monthly incidents after monthly incidents before burr oak 2 7 elgin corners 3 2 elm grove 6 2 greenburg 4 3 huntley 5 11 north lyman 3 9 south lyman 3 5 pin oak 5 7 victorville 2 3 click here for the excel data file (a) choose the appropriate hypotheses to see whether the number of graffiti incidents declined. assume μd is the mean difference in graffiti incidents before and after.

Answers

Just to be clear, the data are reported in the picture attached.

We set the difference in graffiti incidents between before (B) and after (A) as:
d = A - B
If the number of incidents has indeed reduced, then d will be negative.

In order to choose the hypothesis, we need to recall that the null hypothesis H₀ represents the statement that we want to prove wrong, while the alternative hypothesis H₁ represents the statement that we want to prove right.
Therefore, we want μd to be strictly negative (= 0 would mean that the number of incidents stayed constant).

Hence:
H₀ : μd  ≥ 0
H₁ : μd < 0  


Final answer:

The appropriate hypotheses to determine if graffiti incidents declined involve a null hypothesis where the mean difference is greater than or equal to zero and an alternative hypothesis where the mean difference is less than zero. The μd represents the mean difference in graffiti incidents before and after the institution of the community watch program.

Explanation:

The appropriate hypotheses to test whether the number of graffiti incidents declined in the suburban communities after the institution of a citizen community watch program are as follows:

H0: μd ≥ 0 (Null hypothesis: The mean difference in graffiti incidents before and after is greater than or equal to 0, indicating no decrease.)Ha: μd < 0 (Alternative hypothesis: The mean difference in graffiti incidents before and after is less than 0, indicating a decrease.)

Here, μd (mu-sub-d) represents the mean difference between the number of incidents before the program and after the program was implemented. To test these hypotheses, we would typically conduct a paired t-test if the samples are normally distributed or a Wilcoxon signed-rank test if the distribution is not normal.

Assuming μd is the mean difference in graffiti incidents before and after, the test will determine if there is statistically significant evidence to support that the community watch program resulted in a reduction of graffiti incidents.

Circle 1 is centered at (-4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1) and has a radius of 6 centimeters. What transformations can be applied to circle 1 to prove that the circles are similar? The circles are similar because you can translate circle 1 using the transformation rule ( x, x) and then dilate it using a scale factor of ( ).

Answers

we know that
Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another. 
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that
 

Circle 1 is centered at (-4, 5) and has a radius of 2 centimeters
Circle 2 is centered at (2, 1) and has a radius of 6 centimeters

step 1
Move the center of the circle 1 onto the center of the circle 2
the transformation has the following rule
(x,y)--------> (x+6,y-4)
so
(-4,5)------> (-4+6,5-4)-----> (2,1)
so
center circle 1 is now equal to center circle 2 
The circles are now concentric (they have the same center)

step 2
A dilation is needed to increase the size of circle 1 to coincide with circle 2

scale factor=radius circle 2/radius circle 1-----> 6/2----> 3

radius circle 1 will be=2*scale factor-----> 2*3-----> 6 cm
radius circle 1 is now equal to radius circle 2 

A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar


the answer is

The circles are similar because you can translate circle 1 using the transformation rule ( x+6,y-4) and then dilate it using a scale factor of (3 )

Can someone please help me

Answers

No, the two rectangles are not similar. Similar rectangles will have the same ratio of shortest to longest side lengths.
  3 : 4 ≠ 5 : 6

For a popular Broadway musical, theater box office all $356 apiece 275, tickets and $60 apiece, and 369 tickets and $45 apiece. How much money did the box office ticket Take in?

Answers

Answer: $ 61,585

Explanation:

Since the question is incomplete and confusing, here I rephrase it:

A theater box office sold:

     356 tickets at $80 apiece,
     275 tickets at $60 apiece, and
     369 tickets at $45 apiece.

How much money did the box office take in?

The problem is solved by multiplying the number of tickets at each price and adding all the partial sums:

This is: 

356 tickets × $80 / ticket = $28,480
275 tickets × $ 60 / ticket = $16,500
369 tickets × $45 / ticket = $16,605

Sum = $28,840 + $ 22,000 + $ 16,605 = $ 61,585
Answer: $ 61,585
If this is what your question means, then;

1. 356 tickets at $80 apiece2. 275 tickets at $60 apiece3. 369 tickets at $45 apiece
Just multiply the number of tickets per class to its corresponding price:356 tickets * $80 / ticket = $28,480275 tickets * $ 60 / ticket = $16,500369 tickets * $45 / ticket = $16,605
Total = $28,840 + $ 22,000 + $ 16,605
Total = $ 61,585
The total earnings is $ 61,585

When no more than 110 units are​ produced, the cost of producing y units is given by​ c(x). ​c(x)equals0.2 x cubed minus 24 x squared plus 1524 x plus 31 comma 272 how many units should be produced in order to have the lowest possible average​ cost?

Answers

Given that the cost of production is modeled by:
c(x)=0.2x^3-24x^2+1524x+31272
for lowest average cost, we calculate c'(x)=0
thus:
From c(x), we shall have:
c'(x)=0.6x^2-48x+1524
solving for x we get:
x=40+/- 30.6594i
but since we are looking for a definite number of units, we shall do away with the complex part such that we shall remain with:
x=40 units
hence the minimum number of units will be 40 units

hey can you please help me posted picture of question

Answers

The parent function of the shown graph is option C
y = x³

Sally has x books that weigh 2 pounds each and 8 books that weigh 3 pounds each. the total weight of her books is 62 pounds. which equation below could be used to find how many 2-pound books sally has?

Answers

if Sally has x books that are 2 pounds then her x books weights a total of 2x lbs.

8 books of 3 lbs weights 8*3=24lbs

All them add up to 62, therefore we can conclude to the equation :
2x+24=62
or we can simplify to
2x=38
or even
x=19

What is the standard form of the equation of a circle given by x^2 + y^2 - 18x + 8y + 5 = 0

Answers

Completing the square:


x^2 - 18x + y^2 + 8y                       = -5
x^2-18x +81 - 81 + y^2 + 8y + 16 - 16 = -5.

Then, (x-9)^2 + (y+4)^2 = -5 + 81 + 16 = 92

Then the desired equation is (x-9)^2 + (y+4)^2 = 92.

Answer:

x-9,y+4,92

Step-by-step explanation:

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Hello!

The formula for the area of a sector can be written as follows:

Area = [tex] \frac{1}{2} [/tex][tex]r^{2} [/tex](R)

In the above formula, “r” represents the radius while “R” represents the radian measure of a sector. The radius is given to us in the image above as 10 inches. However, we still need the radian measure of the two sectors. To find this measure, we can use the following conversion:

1 degree = [tex] \frac{pi}{180} [/tex] radians

Because the two sectors have a given measure of 72 degrees, we need to multiply both sides of the above conversion by 72:

72 degrees = [tex] \frac{72pi}{180} [/tex]

Reduce the fraction on the right side of the equation:

72 degrees = [tex] \frac{2pi}{5} [/tex]

We now have the radian measure of both sectors. Now simply insert this and any other known values into the “area of a sector” formula above:

Area = [tex] \frac{1}{2} [/tex][tex]10^{2} [/tex]([tex] \frac{2pi}{5} [/tex])

Simplify the right side of the equation to get the following answer:

Area = 20 pi

We have now proven that the area of one sector is equal to 20 pi.

If, however, you need the combined area of the two identical sectors, simply multiply the proven area by 2 to get a total area of 40 pi.

I hope this helps!


Answer: 40 pi

Step-by-step explanation:

hey can you please help me posted picture of question

Answers

For this case we have the following function transformation:
 Horizontal translations:
 Suppose that h> 0:
 To graph y = f (x + h), move the graph of h units to the left.
 Answer:
 option B
Addition of a number to x as is done in F(x+6) results in a shift towards left direction of the original function. Since G(x) = F(x+6) , G(x) is obtained by moving F(x) 6 units to left.

So, G(x) is F(x) shifted 6 units to the left.

Thus, the correct answer is option B

Marcus drew a quadrilateral with only 1 pair of parallel sides. Which quadrilateral did Marcus draw?

Answers

That would be a trapezoid
a trapezoid! 
Hope this helps! <3

what is the tenth rule for A(n)=-9+5(n-1)

Answers

Given that the sequence follows the formula
A(n)=-9+5(n-1)
the tenth term will be given as follows:
From
A(n)=-9+5(n-1)
substitute n=10 in the equation we get:
A(10)=-9+5(10-1)
A(10)=-9+5(9)
A(10)=-9+45
A(10)=36

Answer: 36

What value of y makes the equation true?

Answers

Hi there!

First, we'll need to solve the equation for y. In order to solve for y, we can use our properties. The property we can use in order to solve for y is the subtraction property. Using this property, we can subtract 2.9 from each side. This gives us the value of y as 8.1. Therefore, the answer is A - 8.1.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Other Questions
The capital asset pricing model is used to calculate the effect of increase in prices of capital assets due to inflation. a. True b. False At the end of "Marriage is a Private Affair", which change in the story's atmosphere, marked by lightening and thunder, relates to the father's change of heart toward his son's marriage? What was Maryland Eastern Shore during slavery? Calculate the freezing point of a solution that contains 8.0 g of sucrose (c12h22o11) in 100 g of h2o. kf for h2o = 1.86c/m Penelope finally believes that the man who has killed the suitors really is her husband only after discussion of what object? Slave state legislators had more power in what part of Congress during the 1850s? A. The House of Representatives B. The Supreme Court C. The Senate D. The Executive list 3 types of active transport and 3 types of passive tranport. (5a-5)(2a+2)Find each product AT a groyrey store salted peanuts in a shell cost 30 cents per ounce is 5$ enough money to buy 1 pound of peanuts if it is what amount of money will be leaft over Why was 1928 considered a bull market year? BRAINLIEST please help?A graph that displays bivariate data is called _________ ?Positive AssociationStrength of AssociationBivariate DataScatterplotTwo-Way TableTwo-Way Relative Frequency TableNo AssociationRelative FrequencyAssociationNegative Association A man has 28 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 520 cents, how many dimes and how many quarters does he have? a hiker first hike down into a canyon 345 ft below sea level she then hike on her husband 50 ft of the side of the mountain what was the final altitude of the hiker Which idea would Washington Gladden have been most likely to support? According to the text, the marlboro man symbolizes the old west and such american values as freedom and rugged individualism. the marlboro man is persuasive due to which characteristic of images? An example of software most commonly associated with productivity software is ____. You order chops from the butcher. Chef A says the butcher's first step will be to cut the backbone away from the rib bones. Chef B says the first step will be to cut the chine bone away from the rib bones. Who is correct? A. Chef B is correct. B. Neither chef is correct. C. Chef A is correct. D. Both chefs are correct. Where did most of residents of ancient rome lived in If contracting a vendor for multiple locations, particularly over a wide geographic area, the most important factor would be Calculate kp at 298.15 k for the reactions (a), (b), and (c) using gf values.